Wednesday, October 28, 2020

LeetCode [836] Rectangle Overlap

 836. Rectangle Overlap

Easy

An axis-aligned rectangle is represented as a list [x1, y1, x2, y2], where (x1, y1) is the coordinate of its bottom-left corner, and (x2, y2) is the coordinate of its top-right corner. Its top and bottom edges are parallel to the X-axis, and its left and right edges are parallel to the Y-axis.

Two rectangles overlap if the area of their intersection is positive. To be clear, two rectangles that only touch at the corner or edges do not overlap.

Given two axis-aligned rectangles rec1 and rec2, return true if they overlap, otherwise return false.

 

Example 1:

Input: rec1 = [0,0,2,2], rec2 = [1,1,3,3]
Output: true

Example 2:

Input: rec1 = [0,0,1,1], rec2 = [1,0,2,1]
Output: false

Example 3:

Input: rec1 = [0,0,1,1], rec2 = [2,2,3,3]
Output: false

 

Constraints:

  • rect1.length == 4
  • rect2.length == 4
  • -109 <= rec1[i], rec2[i] <= 109
  • rec1[0] <= rec1[2] and rec1[1] <= rec1[3]
  • rec2[0] <= rec2[2] and rec2[1] <= rec2[3]
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class Solution {
    public boolean isRectangleOverlap(int[] rec1, int[] rec2) {
        int x1a = rec1[0], y1a = rec1[1], x2a = rec1[2], y2a = rec1[3];
        int x1b = rec2[0], y1b = rec2[1], x2b = rec2[2], y2b = rec2[3];
        
        boolean xo = Math.max(x1a, x1b)<Math.min(x2a, x2b);
        boolean yo = Math.max(y1a, y1b)<Math.min(y2a, y2b);
        
        return xo&&yo;
    }
}

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